Question

Find the area of the polygon given below.

• A. $90c{m}^2$
• B. $60c{m}^2$
• C. $10c{m}^2$
• D. $100c{m}^2$

Answer 1

The correct option is A $90c{m}^2$

Consider the following figure:

Area of the figure ABGFED = (Area of square ABCD) - (Area of rectangle CEFG)
$\Rightarrow (AB{)}^2-[\left(GF\right)\times \left(FE\right)]$
$=(10cm{)}^2-[\left(2cm\right)\times \left(5cm\right)]$
$\Rightarrow \left(100c{m}^2\right)-\left(10c{m}^2\right)=90c{m}^2$